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Shape-based solutions have recently received attention for certain ill-posed inverse problems. Their advantages include implicit imposition of relevant constraints and reduction in the number of unknowns, especially important for nonlinear ill-posed problems. We apply the shape-based approach to current-injection electrical impedance tomography (EIT) reconstructions. We employ a boundary element method...
We describe a 3-D boundary element method (BEM) solution to the electrical impedance tomography (EIT) problem. The long-term goal is to use EIT to reconstruct a conductivity map to be used in the inverse problem of electrocardiography. The principle advantage of a BEM solution to EIT is that it imposes the assumption that the internal organ conductivities are piecewise constant in the volume. This...
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